Question: What is the volume of the container that the gas is in?

If I have 7.7 moles of gas at a pressure of 0.090 atm and at a temperature of 56°C, what is the volume of the container that the gas is in?

Answer:

We can use the ideal gas law PV = nRT to solve for the volume of the container that the gas is in.

The ideal gas law states that the product of the pressure (P) of a gas and its volume (V) is equal to the number of moles (n) of the gas multiplied by the gas constant (R) and the absolute temperature (T) of the gas.

Here we have n = 7.7 moles, P = 0.090 atm, T = 56°C = 56 + 273 = 329 K.

R is the ideal gas constant, typically given in units of L·atm/mol·K, but the exact value and unit depends on the specific unit system being used.

So we can use the formula like this:

V = nRT/P

V = (7.7 moles) * (R) * (329 K) / (0.090 atm)

We can now find the volume, once we have the value of R for the chosen unit system.

It is also important to note that ideal gas laws are only approximations and are only accurate at relatively low pressure and high temperature.

 

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