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love history [14]
2 years ago
11

Question 10 of 10

Mathematics
1 answer:
jonny [76]2 years ago
6 0

The required temperature is 180K

<h3>Direct and inverse variation</h3>

Direct variation shows that when a variable is increasing or decreasing the other variable is also increasing/decreasing.

If the volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P, this is expressed as

V = kT/P

Given that

V = 160 cm³ when T=320 kelvin and P = 12kg, hence;

160 = 320k/12
1 = 2k/12

2k = 12

k = 6

If V = 90 cm³ and P = 16kg/cm², then the value of the temperature is expressed as:

90 = 6T/16
15 = T/16
T = 15 * 16
T = 180K

Hence the required temperature is 180K

Learn more on variation here: brainly.com/question/6499629

#SPJ1

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