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Gas is to Be Filled from a Tank of Capacity 10,000 Litres into Cylinders Each Having Capacity of 10 Litres. the Condition of the Gas in the Tank is as Follows: - Chemistry

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Numerical

Gas is to be filled from a tank of capacity 10,000 litres into cylinders each having capacity of 10 litres. The condition of the gas in the tank is as follows:

  1. The pressure inside the tank is 800 mmHg.
  2. The temperature inside the tank is -3°C.

When the cylinder is filled, the pressure gauge reads 400 mmHg and the temperature is 0°C. Find the number of cylinders required to fill the gas.

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Solution

Capacity of the cylinder V = 10000 litres
P = 800 mm
T = -3°C = -3 + 273 = 270 K P1 = 400 mmHg
T1 = 0°C = 0 + 273 = 273 K
V1= ?

`("P""V")/"T" = ("P"_1 "V"_1)/"T"_1`

`"V"_2=(800xx 10000 × 273)/(270 × 400) = 20222  "L"` 

Number of cylinders = `"V"_1/"Volume of one cylinder"`

=`20222.2/10`

= 2022 cylinders

Concept: Standard Temperature Pressure (S.T.P.)
  Is there an error in this question or solution?
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APPEARS IN

Selina Concise Science Chemistry 1 Class 9 ICSE
Chapter 7 Study of Gas Laws
Exercise 7 (B) | Q 22 | Page 127
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