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