Question

In Men in Black, there is a galaxy trapped in a marble. If the marble has a volume of 0.01 L and has 0.9 mol of matter at 27°C, what is the pressure of the gases in the galaxy?

Answer 1

The pressure of the gases inside a marble with a volume of 0.01 L containing 0.9 mol of matter at 27°C, using the ideal gas law, is approximately 22.11 atm.

Step-by-step explanation:

If we have a marble in the Men in Black movie with a volume of 0.01 L containing 0.9 mol of matter at 27°C, we can use the ideal gas law to calculate the pressure inside the marble. The ideal gas law is PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the ideal gas constant (0.0821 L·atm/mol·K), and T is the temperature in Kelvin.

First, convert the temperature from Celsius to Kelvin by adding 273.15 to get T = 27°C + 273.15 = 300.15 K. Next, use the ideal gas equation:
P = (nRT) / V
P = (0.9 mol × 0.0821 L·atm/mol·K × 300.15 K) / 0.01 L
P = 22.11 atm approximately.
Hence, the pressure of the gases inside the marble would be about 22.11 atm.