How Does Heat Expansion Affect Gas Temperature?

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AZING!!In summary, a sample of monatomic ideal gas is supplied with heat at 40C, causing it to expand and its volume to double while its pressure drops to half of its original value. The final temperature of the gas can be solved using the formula (P1V1)/(T1)=(P2V2)T2, where R and n are constant. However, the question may be confusing as the gas actually draws heat from its surroundings as it expands.
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KingTutATL
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Heat is supplised to a sample of a monatomic ideal gas at 40C. It is observed that the gas expands until its volume is doubled and the pressure drops to half of its original value. What is the final temperature of the gas? How do you solve? pv=nRt R and n are constant so do you have (P1V1)/(T1)=(P2V2)T2?
 
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KingTutATL said:
Heat is supplised to a sample of a monatomic ideal gas at 40C. It is observed that the gas expands until its volume is doubled and the pressure drops to half of its original value. What is the final temperature of the gas? How do you solve? pv=nRt R and n are constant so do you have (P1V1)/(T1)=(P2V2)T2?
You've got it. The question is a bit confusing because the gas does not expand due to the supply of heat. It draws heat from its surroundings as it expands.

AM
 
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Based on the given information, we can use the ideal gas law, which states that PV = nRT, to solve for the final temperature (T2) of the gas. Rearranging the equation, we get T2 = (P1V1)/(P2V2) * T1. Plugging in the values, we have T2 = (1/2 * 2V1)/(1/2 * V1) * 40C = 80C. Therefore, the final temperature of the gas is 80C.

To solve for the final temperature, we used the relationship between pressure (P), volume (V), and temperature (T) in the ideal gas law. We also took into account the fact that the number of moles (n) and the gas constant (R) are constant in this scenario. By substituting the initial and final values of pressure and volume, we were able to solve for the final temperature of the gas.
 

FAQ: How Does Heat Expansion Affect Gas Temperature?

What is the definition of "heat supplied to a gas"?

The heat supplied to a gas refers to the transfer of thermal energy from an external source to the gas, causing an increase in its internal energy and temperature.

How is the heat supplied to a gas measured?

The heat supplied to a gas is typically measured in joules (J) or calories (cal), using specialized equipment such as a calorimeter or thermometer.

What factors affect the amount of heat supplied to a gas?

The amount of heat supplied to a gas can be affected by the type of gas, its initial temperature, the external temperature, and the specific heat capacity of the gas.

What happens to a gas when heat is supplied to it?

When heat is supplied to a gas, its molecules gain kinetic energy and begin to move faster, resulting in an increase in temperature and expansion of the gas. This can also cause a change in the state of the gas, such as from a liquid to a gas.

How is the heat supplied to a gas used in practical applications?

The heat supplied to a gas is used in various practical applications, such as in heating and cooling systems, cooking, and industrial processes. It is also an important concept in thermodynamics and the study of energy transfer.

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