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Q.

The volume of a given mass of a gas at 27 oC, I atm is l00cc. What will be its volume at 3270C?

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a

200 cc

b

150 cc

c

300 cc

d

100 cc

answer is A.

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Detailed Solution

We have to convert the given temperatures in kelvin. If pressure of a given mass of the gas is kept constant then V∝ T⇒  VT = constant   [V = Volume of gas]                                      [ Temperature of gas ] ⇒ V1T1 = V2T2  ⇒V2 = V1 (T2T1)Here we must convert the given temperature in kelvin.T1 = 273 + 27 = 300 KT2 = 273+327 = 600 KBut V1 = 100 ccV2= V1(600300) ⇒ V2 = 2V1∴  V2 = 2×100 = 200cc
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The volume of a given mass of a gas at 27 oC, I atm is l00cc. What will be its volume at 3270C?