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If the pressure on 100cm3 of an ideal gas is doubled while its kelvin temperature is ...

If the pressure on 100cm3 of an ideal gas is doubled while its kelvin temperature is halved, then the new volume of the gas will become
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  • A 25cm3
  • B 50cm3
  • C 100cm3
  • D 200cm3
  • E 400cm3
Correct Answer: Option A
Explanation:
\(\frac{P_1V_1}{T_1}\) = \(\frac{P_2V_2}{T_2}\)
P2 = 2P[/sub] ; T[sub]1 = 2T2
therefore, \(\frac{P_1 \times 1000}{2T_2}\) = \(\frac{2P_2 \times V_2}{T_2}\)
= 25cm

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