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At 0°C, the volume of a gas is 22 liters. For each degree, the temperature T​  (in degrees Celsius) increases, the volume V​ (in liters) of the gas increases by  2/25. Write an equation that represents the volume of the gas in terms of the temperature.

 Feb 1, 2021
 #1
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At 0°C, the volume of a gas is 22 liters. For each degree, the temperature T​  (in degrees Celsius) increases, the volume V​ (in liters) of the gas increases by  2/25. Write an equation that represents the volume of the gas in terms of the temperature.

 

Hello Guest!

 

First the equation of the isobaric volume change of ideal gases.

\(\frac{V_2}{T_2}=\frac{V_1}{T_1}\\ V_2=\frac{V_1}{T_1}\cdot T_2\)

The temperature is given in thermodynamics in K (Kelvin).The distance between the K is equal to the distance between the ° C.

\(0°C\ \widehat{=}\ 273.15K \)

 

\(V_2=\dfrac{V_1\cdot (273.15°+t)}{273.15°}\)

I can't find a coefficient 2/25.

laugh  !

 Feb 2, 2021
 #2
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The value of a new car decreases $4000 each year. After 3 years, the car is worth $18,000. Write an equation that represents the value V​ of the car after t years.

 Feb 2, 2021

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