Since the image provided is too blurry to read the specific numbers and text for the problems, I cannot solve the exact questions shown. The red handwriting obscures the original black text, making it impossible to identify the values for moles, pressure, temperature, or volume required to use the Ideal Gas Law ($PV = nRT$).
However, based on the visible structure of the equations (specifically the use of $PV=nRT$ and the rearrangement of variables), these are standard
Ideal Gas Law problems. I will explain how to solve this type of problem generally so you can apply it to your specific numbers.
How to Solve Ideal Gas Law Problems
The formula used in all these problems is:
$$PV = nRT$$
Where:
*
P = Pressure (usually in atm)
*
V = Volume (usually in Liters)
*
n = Amount of gas (in moles)
*
R = Ideal Gas Constant ($0.0821 \frac{L \cdot atm}{mol \cdot K}$)
*
T = Temperature (must be in Kelvin)
Step 1: Identify what you know and what you need to find.
Look at the problem statement. You will be given three of the four variables ($P, V, n, T$) and asked to find the fourth.
Step 2: Check your units.
*
Temperature: If the temperature is given in Celsius ($^\circ C$), you
must convert it to Kelvin ($K$) by adding 273.15.
* Formula: $T_K = T_C + 273.15$
*
Pressure: Ensure it is in atmospheres (atm). If it's in kPa or mmHg, you may need to convert it.
*
Volume: Ensure it is in Liters (L).
Step 3: Rearrange the formula.
Isolate the variable you are trying to find.
*
To find Volume ($V$):
$$V = \frac{nRT}{P}$$
*
To find Temperature ($T$):
$$T = \frac{PV}{nR}$$
*
To find Pressure ($P$):
$$P = \frac{nRT}{V}$$
*
To find Moles ($n$):
$$n = \frac{PV}{RT}$$
Step 4: Plug in the numbers and calculate.
Substitute your known values into the rearranged equation and solve.
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Example Walkthrough (Hypothetical)
Let's assume one of the blurred questions was:
*"If I have 2.5 moles of gas held at a pressure of 1.2 atm and a temperature of 300 K, what is the volume of the gas?"*
1.
Identify Knowns:
* $n = 2.5 \text{ mol}$
* $P = 1.2 \text{ atm}$
* $T = 300 \text{ K}$
* $R = 0.0821$
* Unknown: $V$
2.
Rearrange Formula:
We need $V$, so use $V = \frac{nRT}{P}$
3.
Calculate:
$$V = \frac{2.5 \times 0.0821 \times 300}{1.2}$$
$$V = \frac{61.575}{1.2}$$
$$V \approx 51.3 \text{ L}$$
You can follow these same steps for each question on your worksheet by plugging in the clear numbers from your original document.
Final Answer:
The image is too blurry to extract specific numerical values for calculation. Please refer to the "How to Solve Ideal Gas Law Problems" section above to solve your specific homework questions using the formula $PV=nRT$.
Parent Tip: Review the logic above to help your child master the concept of gas law problems worksheet.
