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ICSE Class 9 Answered

A gas is to be filled from a tank of capacity 10,000 litres into cylinders having a capacity of 10 litres each. The pressure inside the tank is 800mm of Hg and the temp is -3C . When the cylinder is filled, the pressure guage reads 400mm of Hg and the temperature is 0c. Find the number of cylinders which will be required to fill the gas.
Asked by jayshree682004 | 30 Jul, 2014, 02:35: PM
answered-by-expert Expert Answer

Given:

P1= 800 mm of Hg
V1= 10000 L
T1= -3oC = 273 - 3 = 270 K

P2= 400 mm of Hg
V2= Volume required for filling gases with New temp and pressure condition= ?
T2= 273 K

Let us apply combined gas law, We get,

P1V1/T1 = P2V2/T2 

V2= P1V1T2/T1P2 

V2=(800 10000 × 273)/(270 × 400) = 20222 L of gas is to be filled

Thus no. of cylinders required = 20222/10

                                          = 2022.2 (approx.) ......Ans.

Answered by Hanisha Vyas | 31 Jul, 2014, 09:52: AM

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