High School

181 ml of hydrogen gas, measured at 24°c and 2.9 atm pressure, and 256 ml of nitrogen gas, measured at 24°c and 1.3 atm pressure, were forced into the 181 ml container at 24°c, what would be the pressure of the mixture of gases now in the 181 ml container?

Answer :

Final answer:

To find the pressure of the mixture of gases in the 181 ml container, we can use the ideal gas law equation PV = nRT. By substituting the given values into the equation, we find that the pressure is 1.95 atm.

Explanation:

To calculate the pressure of the mixture of gases in the 181 ml container, we can 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 in Kelvin.

First, we need to convert the temperature from Celsius to Kelvin by adding 273.15. Then, we can calculate the pressure using the equation:

P = (n1 * P1 + n2 * P2) / V

In this case, since the volume is the same for both gases, we can simplify the equation:

P = (n1 * P1 + n2 * P2) / V = (181 ml * 2.9 atm + 256 ml * 1.3 atm) / 181 ml = 1.95 atm.

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