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When the volume of a given mass of gas is halved and its temperature doubled,…

When the volume of a given mass of gas is halved and its temperature doubled, the pressure
  • A.
    remains constant
  • B.
    increases by a factor of 4
  • C.
    increases by a factor of 3
  • D.
    decreases by a factor of 4
Correct Answer: Option B
Explanation

(frac{P_1V_1}{T_1}) = (frac{P_2V_2}{T_2})
V1 = 2V2 and T2 = 2T1
(frac{P_1times 2V_2}{T_1}) = (frac{P_2times V_2}{2T_1})
P2 = 4P1