# 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

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.

#### 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.)
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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