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nalin [4]
3 years ago
6

The temperature T of a given mass of gas varies inversely with its volume V. The temperature of 90 cm^3 of a certain gas is 25°C

. What will the temperature of the gas be when it is compressed to a volume of 20 cm^3?
a. 112.5°C
b. 6°C
c. 54°C
d. 120°C
Mathematics
1 answer:
Simora [160]3 years ago
4 0

Answer:

A. 112.5°C

Step-by-step explanation:

Use the inverse variation equation, y = \frac{k}{x}

Replace y with T, and replace x with V:

T = \frac{k}{V}

Plug in 90 as T and 25 as V, then solve for k:

T = \frac{k}{V}

90 = \frac{k}{25}

2250 = k

So, the equation is T = \frac{2250}{V}

Plug in 20 as V and solve for T:

T = \frac{2250}{V}

T = \frac{2250}{20}

T = 112.5

So, the temperature will be A. 112.5°C

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