Sumali sa IDNStudy.com at makuha ang mabilis at kaugnay na mga sagot. Makakuha ng mga sagot sa iyong mga tanong mula sa aming mga eksperto, handang magbigay ng mabilis at tiyak na solusyon.

A gas has an initial volume of 3,480 no and an initial temperature of –70.0°C. What must be the temperature of the gas in Kelvin if its volume is reduced to 2,450 ml?


Sagot :

SOLUTION:

Step 1: List the given values.

To convert the temperature from degree Celsius to kelvin, add 273.15 to the temperature expressed in degree Celsius.

[tex]\begin{aligned} V_1 & = \text{3,480 mL} \\ T_1 & = -70.0^{\circ}\text{C} = \text{203.15 K} \\ V_2 & = \text{2,450 mL} \end{aligned}[/tex]

Step 2: Calculate the final temperature (in kelvin) by using Charles' law.

[tex]\begin{aligned} \frac{V_1}{T_1} & = \frac{V_2}{T_2} \\ T_2V_1 & = T_1V_2 \\ \frac{T_2V_1}{V_1} & = \frac{T_1V_2}{V_1} \\ T_2 & = \frac{T_1V_2}{V_1} \\ & = \frac{(\text{203.15 K})(\text{2,450 mL})}{\text{3,480 mL}} \\ & = \boxed{\text{143.0 K}} \end{aligned}[/tex]

Hence, the temperature of the gas is 143.0 K.

[tex]\\[/tex]

#CarryOnLearning