The volume of the gas at [tex]500^{circ} text{C}[/tex] is [tex]fbox{begin 5.576,{text{L}}end{minispace}}[/tex].

Further Explanation:

Consider the pressure of the gas to be constant.

The change in the volume of the gas when the temperature of the gas is varied by keeping the pressure of the gas at a constant value is defined by the Charles’ Law.

Concept:

According to the Charles law, the volume of the gas is directly proportional to the temperature of the gas at constant pressure.

The Charles’ law can be stated as:

[tex]fbox{beginVpropto Tend{minispace}}[/tex]

The above expression can we written as.

[tex]dfrac{V_1}{T_1}=dfrac{V_2}{T_2}[/tex]

Convert the temperature of the gas into kelvin.

[tex]T=273+T^circtext{C}}}[/tex]

Here, T is the temperature in kelvin and [tex]T^circtext{C}}}[/tex] is the temperature in centigrade.

The initial temperature of the gas is [tex]50^circtext{C}[/tex]. The temperature of the gas in kelvin is.

## Answers ( 1 )

The volume of the gas at [tex]500^{circ} text{C}[/tex] is [tex]fbox{begin 5.576,{text{L}}end{minispace}}[/tex].

Further Explanation:Consider the pressure of the gas to be constant.

The change in the volume of the gas when the temperature of the gas is varied by keeping the pressure of the gas at a constant value is defined by the Charles’ Law.

Concept:According to the Charles law, the volume of the gas is directly proportional to the temperature of the gas at constant pressure.

The Charles’ law can be stated as:

[tex]fbox{beginVpropto Tend{minispace}}[/tex]

The above expression can we written as.

[tex]dfrac{V_1}{T_1}=dfrac{V_2}{T_2}[/tex]

Convert the temperature of the gas into kelvin.

[tex]T=273+T^circtext{C}}}[/tex]

Here, T is the temperature in kelvin and [tex]T^circtext{C}}}[/tex] is the temperature in centigrade.

The initial temperature of the gas is [tex]50^circtext{C}[/tex]. The temperature of the gas in kelvin is.

[tex]begin{aligned}{T_1}&=273+50&=323,{text{K}}end{aligned}[/tex]

The final temperature of the gas is [tex]500^circtext{C}[/tex] . The temperature in kelvin is.

[tex]begin{aligned}{T_2}&=273+500&=773,{text{K}}end{aligned}[/tex]

Substitute the values of temperature and volume in the expression of the Charles’ Law.

[tex]begin{aligned}{V_2}&=frac{{{T_2}}}{{{T_1}}}{V_1}&=frac{{773,{text{K}}}}{{323,{text{K}}}}left({2.33,{text{L}}}right)&=5.576,{text{L}}end{aligned}[/tex]

Thus, the volume of the gas at [tex]500^circtext{C}}[/tex] will be [tex]fbox{begin 5.576,{text{L}}end{minispace}}[/tex].

Learn More:1. Examples of wind and solar energy https://brainly.com/question/1062501

2. Stress developed in a wire https://brainly.com/question/12985068

Answer Details:Grade:High schoolSubject:PhysicsChapter:Gas lawKeywords:Charles law, temperature, volume, initial, final, kelvin, centigrade, 50 C, 500 degree, 500 C, 50 degree, 2,33 L, gas expand, sample, heated.