1. Tardigrade
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  4. Q cal of heat is required to raise the temperature of 1 mole of a monatomic gas from 20° C to 30° C at constant pressure. The amount of heat required to raise the temperature of 1 mole of diatomic gas from 20° C to 25° C at constant pressure is:

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Q. $Q$ cal of heat is required to raise the temperature of 1 mole of a monatomic gas from $20^{\circ} C$ to $30^{\circ} C$ at constant pressure. The amount of heat required to raise the temperature of 1 mole of diatomic gas from $20^{\circ} C$ to $25^{\circ} C$ at constant pressure is:

Thermodynamics

Solution:

$Q=n C_{P} \Delta T=1 \times \frac{5}{2} R \times 10=25\, R$
$Q'=1 \times \frac{7}{2} R \times 5=\frac{35}{2} R$
$\frac{Q'}{Q}=\frac{35}{50}=\frac{7}{10}$
$\Rightarrow Q'=\frac{7}{10} Q$