178,040 views
2 votes
2 votes
A constant volume vessel contains 12.5g of a gas at 21° C. If the pressure of the gas is to remain constant as the temperature is raised to 210°C. How many grams of gas must be released?

User Tronman
by
3.0k points

1 Answer

2 votes
2 votes

Final answer:

Since the pressure and temperature are constant, we can simplify the equation to V/n = constant. To find the grams of gas released, use the ideal gas law equation and calculate the initial and final volumes of the gas.

Step-by-step explanation:

In order to find the number of grams of gas that must be released, we need to use the ideal gas law equation:

PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

Since the pressure and temperature are constant, we can simplify the equation to V/n = constant.

This means that as the temperature increases, the volume of the gas will also increase proportionally.

Using the initial temperature and volume, we can calculate the initial number of moles of gas using the equation n = PV / RT.

Then, using the final temperature, we can calculate the final volume using the equation V = nRT / P. Finally, we can subtract the initial volume from the final volume to find the volume of gas that must be released.

User TaeKwonJoe
by
3.2k points