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Question
The volume of a given mass of a gas at 27°C, 1 atm is 100 cc. What will be its volume at 327°C?
Solution
We have to convert the given temperatures in kelvin. If the pressure of a given mass of the gas is kept constant, then V ∝ T
⇒ `V/T` = constant ......`[(V = "Volume of gas"),(T = "Temperature of gas")]`
⇒ `V_1/T_1 = V_2/T_2`
⇒ `V_2 = V_1 (T_2/T_1)`
T1 = 273 + 27 = 300 K
T2 = 273 + 327 = 600 K
But V1 = 100 cc
`V_2 = V_1 (600/300)`
V2 = 2V1
∴ V2 = 2 × 100 = 200 cc
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