Rankers Physics
Topic: Thermal Physics
Subtopic: Thermodynamics

The amount of heat required to raise the temperature of 2 mole of monoatomic gas under isobaric condition from 0°C to 50°C will be :
75 R
125 R
150 R
250 R

Solution:

For a monoatomic gas under isobaric (constant pressure) conditions, the heat required \( Q \) is given by:

\[
Q = n C_p \Delta T
\]

where:
- \( n = 2 \) moles,
- \( C_p = \frac{5}{2} R \) (specific heat at constant pressure for monoatomic gas),
- \( \Delta T = 50^\circ \text{C} - 0^\circ \text{C} = 50 \) K.

Substitute values:

\[
Q = 2 \times \frac{5}{2} R \times 50 = 250R
\]

So, the answer is \( 250R \).

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