Part A A sample of ideal gas is in a sealed container. The pressure of the gas is 245 torr, and the temperature is 37 °C. If the temperature changes to 82 °C with no change in volume or amount of gas, what is the new pressure, P₂, of the gas inside the container? Express the pressure numerically in torr. ▸ View Available Hint(s) P₂ = Submit Part B 15] ΑΣΦ T₂ = PA 15. ΑΣΦ ? Using the same sample of gas (P₁ = 245 torr, T₁=37 °C), we wish to change the pressure to 2450 torr with no accompanying change in volume or amount of gas. What temperature T2, in Celsius, is needed to reach this pressure? Express the temperature numerically in degrees Celsius. ▸ View Available Hint(s) torr °C

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**Chapter 8: Introduction to Gases - Attempt 1**

**Temperature and Pressure**

**Gay-Lussac’s Law**: This law states that the pressure of a gas is directly related to its absolute temperature, provided the volume and number of moles of the gas remain the same. 
\[ \frac{P_1}{T_1} = \frac{P_2}{T_2} \]
*(See Figure 1)*

**Figure Explanation:**

The figure shows two sealed containers with pistons. The container on the left is labeled "Lower temperature, Lower pressure" and shows fewer gas molecules with less kinetic energy depicted by shorter arrows. The container on the right is labeled "Higher temperature, Higher pressure," depicting more kinetic energy with longer arrows and more densely packed molecules. This illustrates that as temperature increases, the pressure also increases if the volume is constant.

### Part A

A sample of ideal gas is in a sealed container. The initial pressure of the gas is \(245 \, \text{torr}\) and the temperature is \(37^\circ \text{C}\). If the temperature changes to \(82^\circ \text{C}\) with no change in volume or amount of gas, what is the new pressure, \(P_2\), of the gas inside the container?

**Express the pressure numerically in torr.**

- *View Available Hint(s)*
  
\[ P_2 = \_\_\_\_\_\_ \, \text{torr} \]

[Submit button]

### Part B

Using the same sample of gas (\(P_1 = 245 \, \text{torr}, \, T_1 = 37^\circ \text{C}\)), we wish to change the pressure to \(2450 \, \text{torr}\) with no accompanying change in volume or amount of gas. What temperature, \(T_2\), in Celsius, is needed to reach this pressure?

**Express the temperature numerically in degrees Celsius.**

- *View Available Hint(s)*

\[ T_2 = \_\_\_\_\_\_^\circ \text{C} \]

[Submit button]
Transcribed Image Text:**Chapter 8: Introduction to Gases - Attempt 1** **Temperature and Pressure** **Gay-Lussac’s Law**: This law states that the pressure of a gas is directly related to its absolute temperature, provided the volume and number of moles of the gas remain the same. \[ \frac{P_1}{T_1} = \frac{P_2}{T_2} \] *(See Figure 1)* **Figure Explanation:** The figure shows two sealed containers with pistons. The container on the left is labeled "Lower temperature, Lower pressure" and shows fewer gas molecules with less kinetic energy depicted by shorter arrows. The container on the right is labeled "Higher temperature, Higher pressure," depicting more kinetic energy with longer arrows and more densely packed molecules. This illustrates that as temperature increases, the pressure also increases if the volume is constant. ### Part A A sample of ideal gas is in a sealed container. The initial pressure of the gas is \(245 \, \text{torr}\) and the temperature is \(37^\circ \text{C}\). If the temperature changes to \(82^\circ \text{C}\) with no change in volume or amount of gas, what is the new pressure, \(P_2\), of the gas inside the container? **Express the pressure numerically in torr.** - *View Available Hint(s)* \[ P_2 = \_\_\_\_\_\_ \, \text{torr} \] [Submit button] ### Part B Using the same sample of gas (\(P_1 = 245 \, \text{torr}, \, T_1 = 37^\circ \text{C}\)), we wish to change the pressure to \(2450 \, \text{torr}\) with no accompanying change in volume or amount of gas. What temperature, \(T_2\), in Celsius, is needed to reach this pressure? **Express the temperature numerically in degrees Celsius.** - *View Available Hint(s)* \[ T_2 = \_\_\_\_\_\_^\circ \text{C} \] [Submit button]
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