2.A gas syringe at 20°C contains 20.0 mL of CO2 gas. The pressure of the gas in the syringe is 1.0 atm. What is the pressure in the syringe at 20°C if the plunger is depressed to 10.0 mL? 3.A sample of SO2 gas has a volume of 5.2 L. It is heated at constant pressure from 30.o oC to 90.0°C. What is its new volume? (Hint: Which law will you apply of the pressure is constant

4.A sample of the inhalation anesthetic gas Halothane, in a 500-mL cylinder has a pressure of 2.3 atm at 0°C. What will be the pressure of the gas if its temperature is warmed to 37°C (body temperature)? (Hint: Which law will you apply if the volume is constant?)

2. 2.0 atm

3. 6.2 L

4. 2.6 atm

Explanation:

2. To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.

The equation given by this law is:

where,

are initial pressure and volume.

are final pressure and volume.

We are given:

Putting values in above equation, we get:

Thus new pressure in the syringe at 20°C if the plunger is depressed to 10.0 mL is 2.0 atm

3. To calculate the final volume of the system, we use the equation given by Charles' Law. This law states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

where,

are the initial volume and temperature of the gas.

are the final volume and temperature of the gas.

We are given:

Putting values in above equation, we get:

Thus  its new volume is 6.2 L.

4. To calculate the final pressure of the system, we use the equation given by Gay-Lussac Law. This law states that pressure of the gas is directly proportional to the temperature of the gas at constant volume.

Mathematically,

where,

are the initial pressure and temperature of the gas.

are the final pressure and temperature of the gas.

We are given:

Putting values in above equation, we get:

Hence, the pressure of the gas if its temperature is warmed to 37°C is 2.6 atm