Q. 8.27 - An Introduction to General, Organic, and Biological Chemistry

Question

 A sample of neon initially has a volume of $2.50 L$ at $15 °C$. What final temperature, in degrees Celsius, is needed to change the volume of the gas to each of the following, if $P$ and $n$do not change? 

a. $5.00 L$

 b . $1250 mL$

 c. $7.50 L$

 d.$3550 mL$

Step-by-Step Solution

Answer

a.  The final temperature  in degrees Celsius, is needed to change the volume of the gas is $30 °C$  

b. The  final temperature, in degrees Celsius, is needed to change the volume of the gas  is$7.5°C$

c. The final temperature, in degrees Celsius, is needed to change the volume of the gas is $45°C$

d. The final temperature, in degrees Celsius, is needed to change the volume of the gas  is$21.3°C$

Part(a) Step 1: Given information

We need to find that final temperature  in degrees Celsius, is needed to change the volume of the gas to each of the following, if Pressure  and amount do not change .

Part(a) Step 2: Explanation

 

Here we will use charles law becuase pressure and amount of gas do not change .

$T_2=\frac{T_1\times V_2}{V_1}=\frac{15\times 5}{2.50}=30 °C$

here  is final volume.

Part(b) Step 1: Given information

We need to find that final temperature  in degrees Celsius, is needed to change the volume of the gas to each of the following, if Pressure  and amount do not change .

Part(b) Step 2: Explanation

Here we will use charles law becuase pressure and amount of gas do not change .

$T_2=\frac{T_1\times V_2}{V_1}=\frac{15\times 1.25}{2.50}=7.5°C$

Part(c) Step 1: Given information

We need to find that final temperature  in degrees Celsius, is needed to change the volume of the gas to each of the following, if Pressure  and amount do not change .

Part(c) Step 2: Explanation

Here we will use charles law becuase pressure and amount of gas do not change .

$T_2=\frac{T_1\times V_2}{V_1}=\frac{15\times 7.50}{2.50}=45°C$

Part(d) Step 1: Given information

We need to find that final temperature  in degrees Celsius, is needed to change the volume of the gas to each of the following, if Pressure  and amount do not change .

Part(d) Step 2: Explanation

Here we will use charles law becuase pressure and amount of gas do not change .

$T_2=\frac{T_1\times V_2}{V_1}=\frac{15\times 3.55}{2.50}=21.3°C$