The volume of a certain amount of gas at a temperature of 27°C and at pressure 76 cm of Hg is 200 c.c. Find the volume of the gas when pressure of the gas changes to 38 cm of Hg and temperature changes to 127°C.
WBBSE
Class X
Physical Science
Behaviour of Gases
02 Mark
2025
Initial Pressure (P₁) = 76 cm Hg
Initial Volume (V₁) = 200 c.c.
Initial Temperature (T₁) = 27°C = 300 K
Final Pressure (P₂) = 38 cm Hg
Final Temperature (T₂) = 127°C = 400 K
Final Volume (V₂) = ?
From the Combined Gas Law, \frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}
V₂ = \frac{P_1\times V_1\times T_2}{P_2\times T_1} = \frac{76\times200\times400}{38\times300} = 533.3 c.c.
Hence, the final volume of the gas is 533.3 c.c.
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