To determine the expected temperature at which the volume would be 150 cubic cm while keeping the pressure constant, we can use the ideal gas law, which states:
PV = nRT
Where: P = pressure (constant) V = volume (initial and final) n = number of moles of gas (constant) R = ideal gas constant T = temperature (initial and final)
Since the pressure and number of moles are constant, we can rewrite the equation as:
V₁ / T₁ = V₂ / T₂
Where V₁ and T₁ represent the initial volume and temperature, and V₂ and T₂ represent the final volume and temperature.
Given: V₁ = 250 cubic cm T₁ = 10°C (convert to Kelvin: T₁ = 10 + 273.15 = 283.15 K) V₂ = 150 cubic cm (final volume)
Plugging these values into the equation, we can solve for T₂:
250 / 283.15 = 150 / T₂
Cross-multiplying and rearranging the equation:
T₂ = (150 * 283.15) / 250
Calculating this expression:
T₂ = 169.89 K
Converting the temperature back to Celsius:
T₂ = 169.89 - 273.15 ≈ -103.26°C
Therefore, at a constant pressure, you would expect the volume to be 150 cubic cm at a temperature of approximately -103.26°C.