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The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0°C to 50°C when no work is done is ______. (R is the universal gas constant)

Asked in JEE Main 20th July 2nd Shift 2021 · Heat at constant volume and pressure

• (1) 750R
• (2) 250R
• (3) 500R
• (4) 175R

Step-by-step solution

Why the other options are wrong

• (1) Comes from giving the gas a vibrational mode (C_V=7/2 R) on top of a rounding slip.
• (2) Comes from using two moles instead of four.
• (4) Comes from dropping the mole count and using C_P: 7/2 R×50=175R.

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