I need help solving these. I don’t know what formula to use for them. There’s the (Boyle’s law, Kevin’s law, Charles law, and s law). Can someone help me figure out which law I’m supposed to use?

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1. A sample of gas occupies 33 mL at -101 Celsius what volume does the sample occupy at 97 Celsius?

2. There is a balloon that contains 2125 L of gas at 55 Celsius and 99 kPa. This balloon rises to an altitude where the pressure is 42kPa and the temperature is 12 Celsius. Calculate the volume of the balloon under these new conditions.

1. Poor question. What pressure? or is it at constant pressure (Charles law).? If you assume constant pressure, then change temps to kelvins, and V1/V2=T1/V2

2. pressure changes, temp changes, and volume changes. Gay-Lussac's law (or the ideal gas law). change temps to kelvins,

PV=nRT or numbermoles=PV/RT . Now because the number of moles is constant..

P2*V2/T2=P1*V1/T1

Thank you

To determine which gas law to use for each problem, we need to look at the given information and identify the variables involved. Based on the information you provided, both problems involve changes in volume, temperature, and possibly pressure.

1. In the first problem, we are given the initial volume of the gas (33 mL) and the initial temperature (-101 Celsius). We need to find the final volume at a different temperature (97 Celsius). Since only the temperature and volume change, we can use Charles's Law.

Charles's Law states that the volume of a gas is directly proportional to its temperature, assuming constant pressure and amount of gas. The formula for Charles's Law is:

V1 / T1 = V2 / T2

where V1 and V2 are the initial and final volumes, and T1 and T2 are the initial and final temperatures in Kelvin (Celsius + 273).

To solve this problem, you need to convert the temperatures to Kelvin, substitute the given values into the formula, and solve for V2.

2. In the second problem, we are given the initial volume of the gas (2125 L), the initial temperature (55 Celsius), the initial pressure (99 kPa), and the final pressure (42 kPa) as well as the final temperature (12 Celsius). Here, we need to find the final volume of the balloon under these new conditions. Since the problem involves changes in pressure, temperature, and volume, we can use the Combined Gas Law.

The Combined Gas Law combines Boyle's Law, Charles's Law, and Gay-Lussac's Law and is expressed as follows:

(P1 * V1) / T1 = (P2 * V2) / T2

where P1 and P2 are the initial and final pressures, V1 and V2 are the initial and final volumes, and T1 and T2 are the initial and final temperatures in Kelvin.

To solve this problem, you need to convert the temperatures to Kelvin, substitute the given values into the formula, and solve for V2.

Remember to always convert temperatures to Kelvin by adding 273 to the Celsius temperature for gas law calculations.

I hope this explanation helps you understand which gas laws to use for each problem and how to approach solving them!