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A cylinder of capacity 20 litres is filled with H2 gas. The total average kinetic energy of translatory motion of its molecules is 1.5 × 105 J. The pressure of hydrogen in the cylinder is (in 106 N/m2).

Correct answer is '5'. Can you explain this answer?
Verified Answer
A cylinder of capacity 20 litres is filled with H2 gas. The total aver...
Kinetic Energy E = 1.5 × 105J

Volume V = 20 litres = 20 × 10-3 m3

Pressure = 

p = 5 × 106 N/m2

The correct answer is: 5
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Most Upvoted Answer
A cylinder of capacity 20 litres is filled with H2 gas. The total aver...
To find the average kinetic energy of translatory motion of the H2 gas molecules in the cylinder, we can use the formula:

Average Kinetic Energy = (3/2) * (k * T)

where k is the Boltzmann constant and T is the temperature in Kelvin.

Since the question does not provide the temperature, we cannot calculate the exact average kinetic energy. However, we can make an estimate.

Assuming room temperature is around 300 Kelvin, we can use this value to estimate the average kinetic energy.

Average Kinetic Energy = (3/2) * (k * T)
= (3/2) * (1.38 * 10^-23 J/K * 300 K)
≈ 6.21 * 10^-21 J

Therefore, the average kinetic energy of translatory motion of the H2 gas molecules in the cylinder is approximately 6.21 * 10^-21 Joules.
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A cylinder of capacity 20 litres is filled with H2 gas. The total average kinetic energy of translatory motion of its molecules is 1.5 × 105 J. The pressure of hydrogen in the cylinder is (in 106 N/m2).Correct answer is '5'. Can you explain this answer?
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