If R is the universal gas constant then the amount of heat needed to raise the temperature of 3 moles of an ideal monoatomic gas from 273 K to 393 K when no work is done is

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Quantrex Academy · Accepted Answer

Correct answer: C. 540 R

Since no work is done, the process is isochoric and the heat supplied is used entirely to increase the internal energy of the gas.

Q = \Delta U = n C_v \Delta T

For a monoatomic ideal gas,

C_v = \dfrac{3}{2} R

.

Given

n = 3

moles,

T_1 = 273

K, and

T_2 = 393

K.

\Delta T = 393 - 273 = 120

K

Substituting the values:

Q = 3 \times \dfrac{3}{2} R \times 120

Q = \dfrac{9}{2} R \times 120 = 540 R

Answer:

540 \text{ R}

If R is the universal gas constant then the amount of heat needed...

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