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Find the amount of heat needed to increase the temperature

Chapter 18, Problem 34P

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QUESTION:

Problem 34P

Find the amount of heat needed to increase the temperature of 3.5 mol of an ideal monatomic gas by 23 K if (a) the pressure or (b) the volume is held constant.

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QUESTION:

Problem 34P

Find the amount of heat needed to increase the temperature of 3.5 mol of an ideal monatomic gas by 23 K if (a) the pressure or (b) the volume is held constant.

ANSWER:

Step 1 of 3

According to the first law of thermodynamics, the change in internal energy of a gas,

----------(1)

Where, - Heat added to the gas

             - Work done by the gas

The change in internal energy of a monoatomic ideal gas,

------------(2)

Where,  - Number of moles of the gas

             - Universal gas constant

             - Change in temperature of the system

The ideal gas equation,

-------------(3)

Where, - Pressure of the gas

             - Change in volume

a)

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