Final answer:
To calculate the density of a gas sample when the temperature is changed at constant pressure, you can use the ideal gas law equation. By substituting the given values and solving for the new density, you can determine the answer.
Step-by-step explanation:
The density of a gas can be calculated using the ideal gas law equation:
Density = (molar mass * pressure) / (gas constant * temperature)
Given that the temperature changes from 75°C to 25°C at constant pressure, we can use this equation to find the new density. The molar mass, pressure, and gas constant remain constant. Only the temperature changes.
Density1 = (molar mass * pressure) / (gas constant * temperature1)
Density2 = (molar mass * pressure) / (gas constant * temperature2)
Substituting the given values, we can calculate the new density:
Density1 = 1.50 g/L
Temperature1 = 75°C + 273.15 = 348.15 K
Temperature2 = 25°C + 273.15 = 298.15 K
Density2 = (molar mass * pressure) / (gas constant * temperature2)
Therefore, we can now determine the new density of the gas when the temperature is changed to 25°C at constant pressure.