Question

Which of the following is CORRECT regarding a fixed amount of ideal gas? 

(A) Doubling the temperature, doubles the volume, provided the pressure remains the same. 

(B) Doubling the temperature, halves the volume, provided the pressure remains the same. 

(C) Doubling the pressure, doubles the volume, provided the temperature remains the same. 

(D) Doubling the volume, doubles the pressure, provided the temperature remains the same.

Answer 1

Correct option is: (A) Doubling the temperature, doubles the volume, provided the pressure remains the same.

For fixed amount of ideal gas at constant pressure

\(P_1V_1 \) = nRT ...(i)

 \(P_2V_2 \) = nR2T ...(ii)

(ii) ÷ (i) we got

\(\frac {v_2}{V_1} = \frac {2T}{T}\)

\(V_2 = 2V_1\)

It means doubling the temperature, doubles the volume, at constant pressure.

Answer 2

(A) Doubling the temperature, doubles the volume, provided the pressure remains the same.