The pressure of a gas remains constant while the temperature, volume, and internal energy of the gas increase by 57.7 Co, 1.24 x 10⁻³ m³, and 843 J, respectively. The mass of the gas is 21.6 g, and its specific heat capacity (at constant pressure) is 1080 J / (kg Co). Determine the pressure.

Question

Physics

Maximillian Steele

3 February, 19:18

The pressure of a gas remains constant while the temperature, volume, and internal energy of the gas increase by 57.7 Co, 1.24 x 10⁻³ m³, and 843 J, respectively. The mass of the gas is 21.6 g, and its specific heat capacity (at constant pressure) is 1080 J / (kg Co). Determine the pressure.

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Hadassah Page · Answer 1

P = 405.67 kPa

Explanation:

given,

change in temperature = 57.7 °C

volume of the gas = 1.24 x 10⁻³ m³

Internal energy of the = 843 J

Cp = 1080 J/Kg. C°

mass = 21.6 g

heat capacity

Q = m Cp ΔT

Q = 0.0216 x 1080 x 57.7

Q = 1346.025 J

according to first law of thermodynamics

U = Q + W

W = Q - ΔU

PΔV = Q - ΔU

PΔV = 1346.025 - 843

P x 1.24 x 10⁻³ = 503.0256

P = 405.67 x 10³ Pa

P = 405.67 kPa

The pressure of the gas is equal to P = 405.67 kPa