A given mass of gas has a pressure of 80Nm-2 at a temperature of 47oC. If the temperature is reduced to 27oC with the volume remaining constant, the new pre...
A given mass of gas has a pressure of 80Nm-2 at a temperature of 47oC. If the temperature is reduced to 27oC with the volume remaining constant, the new pressure is
Answer Details
The given gas is at a pressure of 80 Nm-2 and a temperature of 47oC. To find the new pressure at a temperature of 27oC with constant volume, we can use the ideal gas law: P₁/T₁ = P₂/T₂ where P₁ is the initial pressure, T₁ is the initial temperature, P₂ is the final pressure, and T₂ is the final temperature. Substituting the given values into the equation, we have: 80 Nm-2 / (47 + 273) K = P₂ / (27 + 273) K Simplifying the equation, we get: P₂ = 80 Nm-2 × (27 + 273) K / (47 + 273) K P₂ = 75 Nm-2 Therefore, the new pressure at a temperature of 27oC with constant volume is 75 Nm-2.