What term is refers to the amount of heat required to raise the temperature of 1 gram of liquid h2o by 1o Celsius?

Hello, and welcome to this Mometrix video on specific heat capacity—a constant that relates heat transfer to changes in temperature.

Temperature is directly related to the average translational kinetic energy of the atoms or molecules in a system. Basically, the faster and heavier the particles are, the higher the temperature. The units for temperature are degrees Celsius and Kelvin (remember, 0 degrees Celsius = 273 Kelvin, but 1 degree Celsius has the same magnitude as 1 Kelvin).

Conversely, heat is measured in joules and is the energy transferred between systems at different temperatures that are in contact. Because heat is the transfer of energy, it is known as a process quantity.

When heat is absorbed or released by a system, the temperature changes. How much the temperature changes depends on the substance, and specifically, the specific heat capacity of that substance.

Let’s look at an example.

Let’s say we have 47.8 grams of water at 35ºC and we put it on the stove. We turn on the stove and transfer 1,000 joules of heat to our water and the temperature rises to 40ºC. In other words, it took 1,000 joules of heat to raise 47.8 grams of water by 5ºC.

That’s kind of a mouthful and seems oddly specific in terms of quantities. This is where specific heat capacity, notated as \(c\), comes into play. It’s a standard quantity and is the amount of heat required to raise 1 gram of a substance by 1 degree Celsius.

With some simple division, we can derive the specific heat capacity of water from our hypothetical cup of water.

\(\text{Specific heat capacity (}c\text{)} =\) \(qmass \times ΔT= \frac{1000\text{ joules}}{47.8\text{ g} \times 5\text{ K}}\)\(=4.184\text{ J/gK}\)

From this, we know now that it takes 4.184 joules to raise the temperature of 1 gram of water by 1 degree Celsius—that’s the specific heat capacity of water.

This is really helpful to scientists because once determined, the specific heat capacity can be used to calculate the heat absorbed or released by a system simply by measuring the temperature change and mass. Let’s try that out.

Let’s look at a new cup of water, let’s say a mug of 350 grams that’s boiling. The water starts at 100ºC and cools down to 90ºC. We want to know how much heat was released from the water to the surrounding environment. Since we know the specific heat capacity of water is 4.184 joules per gram Kelvin, we simply need to rearrange our previous equation to solve for \(q\) (the heat released).

\(q=c \times \text{mass} \times ∆T\)\(=4.184 \text{ J/gK} \times 350 \text{g} \times -10 \text{ K}\)\(=-14,644 \text{ J}\)

Since we knew the specific heat capacity of water, calculating the heat released from the system was easy!

Note here that the negative sign simply tells us that the system (the mug of water) released heat to the surrounding system rather than absorbed it.

Now that we’ve defined specific heat capacity and demonstrated how it can be used to calculate the heat transferred from or to a system, let’s look at why the specific heat capacity changes between substances.

For example, the specific heat capacity of ethanol is 2.18 joules per gram Kelvin, almost half of water. If we have one gram of water and one gram of ethanol both at 0ºC, it would take 4.18 joules of heat to raise the temperature of water to 1ºC, and only 2.18 joules for ethanol. The liquids reach the same temperature but require different amounts of heat. Why?

Remember, to increase the temperature, we need to increase the average translational kinetic energy of the molecules (make the molecules move faster). But the internal energy of a substance is more than just the translational kinetic energy, it also includes potential energy from intermolecular interactions. When heat is transferred to a system, it is distributed amongst the kinetic and potential energies.

So, if a system has more potential energy, a smaller proportion of the transferred heat is distributed to the kinetic energy, yielding a smaller increase in temperature. To better understand this concept, let’s look at water and ethanol again.

In water, there is a complex network of hydrogen bonds between the molecules. Those interactions are part of the potential energy and need to be overcome, or broken, to increase the average translational kinetic energy. So, when we heat water, some of that energy is used to break up the hydrogen bonding network instead of increasing the kinetic energy, resulting in a large specific heat capacity. Conversely, in ethanol, there are fewer hydrogen bonds per molecule, or less potential energy, and therefore a larger proportion of the heat transferred is used to increase the average kinetic energy, which results in a smaller specific heat capacity.

Review

Okay, let’s wrap up with a review. First, we reviewed the scientific definitions of temperature and heat and related them using specific heat capacity. Using water as an example, we showed how once we know the specific heat capacity, it is quite easy to determine the heat transferred from or to a system. And finally, we considered from a microscopic view why substances have different specific heat capacities.

Thanks for watching and happy studying!

Specific heat capacity refers to the amount of energy or heat required to increase the temperature of 1 gram of a substance by one degree Celsius.

A key characteristic of water is its high specific heat capacity. Water has to absorb 4,184 Joules of heat, or 1 calorie, to increase in temperature of 1 kilogram of water by 1 degree Celsius.

The units often expressed for specific heat capacity are J/(g×C) or J/(kg×C).

Heat capacity, also known as thermal mass, refers to the amount of heat energy require to raise the temperature of an object, and is measure in Joules per Kelvin or Joules per degree Celsius. Specific heat capacity, also known as specific heat, is the heat capacity per unit mass.

The calorie was originally defined as the amount of heat required at a pressure of 1 standard atmosphere to raise the temperature of 1 gram of water 1° Celsius. … Since 1925 this calorie has been defined in terms of the joule, the definition since 1948 being that one calorie is equal to approximately 4.2 joules.

What is the amount of heat necessary to increase the temperature of 1 gram of h2o by 1 degree Kelvin?

For example, the specific heat capacity of ethanol is 2.18 joules per gram Kelvin, almost half of water. If we have one gram of water and one gram of ethanol both at 0ºC, it would take 4.18 joules of heat to raise the temperature of water to 1ºC, and only 2.18 joules for ethanol.

What is the quantity of heat required to raise the temperature of 1 gram?

The quantity of heat required by 1 gram of a substance to raise its temperature by 1 K is called its specific heat.

Does it take the same amount of heat to raise 1 gram of any substance by 1 C?

Water is very resistant to changes in temperature, while metals in general are not. The specific heat of a substance is the amount of energy required to raise the temperature of 1 gram of the substance by 1°C.

What is the quantity of heat required to raise?

The specific heat capacity refers to the amount of heat required to cause a unit of mass (say a gram or a kilogram) to change its temperature by 1°C. Specific heat capacities of various materials are often listed in textbooks. Standard metric units are Joules/kilogram/Kelvin (J/kg/K).

Is the amount of heat necessary to raise the temperature of 1 gram of a substance by 1 degree Kelvin?

Specific heat capacity is a measure of the amount of heat necessary to raise the temperature of one gram of a pure substance by one degree K.

What is the amount of energy required to raise a degree of temperature of 1 gram of water?

Measuring Energy. … They chose a unit based on the amount of heat (or energy) needed to raise the temperature of one gram of water from 14.5 to 15.5 degrees centigrade. Technically this standard should be called the gram-calorie but most people just call it a calorie, a word derived from the Latin word for ‘heat’.

Can heat capacity be negative?

Negative heat capacity

Most physical systems exhibit a positive heat capacity. However, even though it can seem paradoxical at first, there are some systems for which the heat capacity is negative. … A negative heat capacity can result in a negative temperature.

How much energy does it take to heat 1 gram of a substance 1 degree C?

It requires 4.18 J of energy to change the temperature of 1 gram of liquid water by 1°C (or 1 K). Specific heat capacity, Cg, as described above is useful because we can easily measure the mass of many substances.

Aluminum did conduct heat the fastest; steel appeared to be the slowest.

What is Q in Q MC ∆ T?

Q = mc∆T. Q = heat energy (Joules, J) m = mass of a substance (kg) c = specific heat (units J/kg∙K) ∆ is a symbol meaning “the change in”

What is the amount of heat required to raise the temperature of 1gm of water through 10 C?

Solution step by step The specific heat is the amount of heat required to raise the temperature of 1 g of substance by one degree Celsius or one Kelvin. The quantity of heat needed for M g of water from t=10C to t=20C is MC(t2−t1) , where C is the specific heat capacity of the water.

What is the amount of heat per unit mass required to raise the temperature by 1 C?

The specific heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius.

What is the amount of heat required to raise the temperature of 1 gram of water by 1oc?

Quantitative experiments show that 4.18 Joules of heat energy are required to raise the temperature of 1g of water by 1°C.

What is heat of fusion for water?

The heat of fusion for water at 0 °C is approximately 334 joules (79.7 calories) per gram, and the heat of vaporization at 100 °C is about 2,230 joules (533 calories) per gram.