Question 3 (2 points) A mad scientist experiments with the pressure of gases in his lab to create the perfect popcorn pop. If the initial pressure inside the kernel is 10 atm at 300 K what is the pressure at 450 Kright before it pops? __ atm (Round your answer to the tenths place to maintain 2 significant figures). Blank 1: square

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Question 3 (2 points) A mad scientist experiments with the pressure of gases in his lab to create the perfect popcorn pop. If the initial pressure inside the kernel is 10 atm at 300 K what is the pressure at 450 Kright before it pops? __ atm (Round your answer to the tenths place to maintain 2 significant figures). Blank 1: square

Answer 1

### 15.0 atm

Answer 2

## Step 1: Identify the initial conditions ### The initial pressure ($P_1$) is 10 atm and the initial temperature ($T_1$) is 300 K. ## Step 2: Identify the final temperature ### The final temperature ($T_2$) is 450 K. ## Step 3: Apply the ideal gas law ### According to the ideal gas law, for a constant volume, the pressure and temperature are related by $P_1/T_1 = P_2/T_2$. ## Step 4: Solve for the final pressure ($P_2$) ### Rearrange the formula to $P_2 = P_1 \cdot \frac{T_2}{T_1}$. ### Substitute the known values: $P_2 = 10 \text{ atm} \cdot \frac{450 \text{ K}}{300 \text{ K}}$. ### Calculate the result: $P_2 = 10 \cdot 1.5 = 15 \text{ atm}$. ## Step 5: Round to the nearest tenth ### The final pressure rounded to the nearest tenth is 15.0 atm.

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