Test: Gas Laws - ACT MCQ

According to Gay-Lussac’s law, at the constant volume, the pressure is directly proportional to the temperature of gas so P₁/P₂ = T₁/T₂ that is 1.1 Bar/2.2 bar = 22 degrees Celsius/44 degree Celsius. So the temperature required is 44 degrees Celsius.

As we know that the number of moles is proportional to the volume as per Avogadro’s law and we also know that an ideal gas at STP occupies 22.4 liters of volume. So here 10 moles of gas occupies 224 liters of volume.

As we know that temperature is directly proportional to the volume at constant pressure, 26/39 = 2/ X; so here by equating X equals to 3 liters. Hence required a volume of the balloon at 39 degrees is 3 liters.

According to Boyle’s law at a constant temperature, the pressure is inversely proportional to the temperature so here P₁V₁ is equaled to P₁V₂ by equating P₁V₁ is equaled to 1 x 2.5 = 2.5, so the maximum volume of the ball that can be expanded is 2.5/0.12 =0.3 liters.

Boyle’s law states that at constant temperature pressure is inversely proportional to the volume of gas so here the graph between the pressure as y-axis volume as x-axis is in the shape of a hyperbola.

When a graph is plotted between pressure on y-axis and temperature on x-axis straight line is formed at a constant volume and this graph is known as isochoric. As we know that gay lussac’s law proposes that at the constant volume the pressure and temperature are directly proportional.

By using Boyle’s law, draw a parallel line to volume axis, so as to maintain a constant temperature. Draw perpendicular lines to the point of intersection of pressure lines to constant temperature and volume axis. Now see to the lower the volume, higher the pressure. So P₁ is greater than P₂.

According to Charles law, the volume of the fixed gas at constant pressure is directly proportional to the Absolute Temperature of the gas. So we thereby represent this as V_t = V₀(1 + t/273) where V_t is the volume of the gas at temperature t and V₀ is the volume of the gas at 0 degrees Celsius that is absolute temperature.

The graphs with constant temperature plot are isotherms. For example, the graph that is used to detect the Boyle’s law, that is between pressure and volume is an isotherm as the temperature is constant in this graph.

As we know that, Boyle’s law states at a constant temperature, the pressure of a gas is inversely proportional to its volume so P₁V₁ equals to P₂V₂ by substituting P₁ as one atmospheric pressure V₁ as 5 liters P₁ as to atmospheric pressure we get V₂ as 5/2 that is 2.5 liters.