# Ideal Gas Law

The Ideal Gas Law serves as a fundamental principle in the field of thermodynamics and fluid dynamics, providing a concise mathematical representation of the relationship between pressure, volume, and temperature in an ideal gas. Formulated as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature, this law enables scientists and engineers to make accurate predictions about the behavior of gases under varying conditions. Widely applicable in diverse scientific disciplines, the Ideal Gas Law plays a pivotal role in understanding and analyzing the properties of gases in controlled environments.

Questions

- You heat 0.158g of a white, solid carbonate of a Group 2 metal and find that the evolved #CO_2# has a pressure of 69.8 mmHg In a 285ml flask at 25°C .What is the molar mass of the metal carbonate?
- How many kilograms of #O_2# gas are needed to give an oxygen pressure of 3.48 atm at 22°C?
- A #0.275*L# volume of an unspecified gas exerts a pressure of #732.6*mm*Hg# at a temperature of #-28.2# #""^@C#. What is the molar quantity of this gas?
- How would you determine the volume that 1 mol of a gas at 0°C and 1 atm occupies?
- On a PV diagram, suppose we place volume on the #y# axis; is the slope negative or positive?
- What volume would be occupied by a #0.1*mol# quantity of gas at a temperature of #310*K#, and a pressure of #700*mm*Hg#?
- What is the pressure in 2 L balloon which contains 5 moles of gas at a temperature of 250 K?
- How do chemists use the ideal gas law?
- How do you calculate the molar mass of a gas?
- The density of air #20# #km# above Earths surface is #92# #g##/##m^3.# The pressure of the atmosphere is #42# #mm# #Hg#, and the temperature is #-63# #°C#. What is the average molar mass of the atmosphere at this altitude?
- How many moles of gas are present in a gas cylinder at #18*atm# at a temperature of #123# #""^@C#?
- A balloon is inflated with 0.2494 g of helium to a pressure of 1.26 atm. If the desired volume of the balloon is 1.250 L, what must the temperature be in °C?
- If 5.0 moles of #O_2# and 3.0 moles of #N_2# are placed in a 30.0 L tank at a temperature of 25°C, what will the pressure of the resulting mixture of gases be?
- For which gases does the ratio of PV to RT equal a constant?
- A 16.0 L gas cylinder is filled with 7.60 moles of gas. The tank is stored at #27^oC#. What is the pressure in the tank?
- What is the pressure in #mm*Hg# if a #4.0*g# mass of oxygen gas at #303*K# was confined to a container whose volume of #3000*mL#?
- How many moles are in a gas in 890mL at 21 °C and 750 mmHg?
- What pressure IN #"kilopascals"# is exerted by the DRY gas if it is has been collected over water at #75# #""^@C#, and the total pressure is #3.41*atm#?
- What is the mole fraction of #NO# in a 55.0 L gas cylinder at 30.0°C which comes from a mixture of #N_2# and #NO# if you have 3.238 mol of #N_2# and the gas cylinder has a total pressure of 2.14 atm?
- Assuming that the gas was ideal and using the ideal gas constant of 0.08206 L-atm/mol-K, how many moles were there of the gas?