Question

law the volume of the balloon will decrease.

1. calculate you have three liters of gas at a certain kelvin temperature and a certain pressure. the kelvin temperature triples and the pressure stays the same. what is the gas volume? explain your answer.

the new gas volume would be 9 liters. at constant pressure the gas volume is directly proportional to kelvin temperature so tripling the temperature triples the volume also.

1. analyze the pressure of the gas is cut in half and the temperature stays the same? what happens to the gas volume? explain your answer.

1. explain when scientists record a gas’s volume, they also record its temperature and pressure. why?

Explanation:

Step1: Apply Charles's Law (Q3)

Charles's Law: $\frac{V_1}{T_1} = \frac{V_2}{T_2}$ (constant $P$)
Given $V_1=3\ \text{L}$, $T_2=3T_1$

Step2: Solve for new volume (Q3)

$V_2 = V_1 \times \frac{T_2}{T_1} = 3\ \text{L} \times 3 = 9\ \text{L}$

Step3: Apply Boyle's Law (Q4)

Boyle's Law: $P_1V_1 = P_2V_2$ (constant $T$)
Given $P_2=\frac{1}{2}P_1$

Step4: Solve for new volume (Q4)

$V_2 = V_1 \times \frac{P_1}{P_2} = V_1 \times 2$

Step5: Relate gas properties (Q5)

Gas volume depends on $P$ and $T$ via gas laws.

Answer:

1. The new gas volume is 9 liters. At constant pressure, gas volume is directly proportional to Kelvin temperature (Charles's Law), so tripling the temperature triples the volume.
2. The gas volume doubles. At constant temperature, gas volume is inversely proportional to pressure (Boyle's Law), so halving the pressure doubles the volume.
3. Gas volume is not an independent property; it changes with changes in temperature and pressure (per gas laws like Boyle's, Charles's, and the Ideal Gas Law). Recording all three ensures an accurate, reproducible measurement of the gas's state.