A sample of methane gas at a pressure of
0.867 atm and a temperature of
21.8°C, occupies a volume of
18.6 L. If the gas is compressed at constant temperature to
9.71 L, the pressure of the gas sample will be
atm.

1.661 atm

Explanation:

Data obtained from the question include:

P1 (initial pressure) = 0.867 atm

V1 (initial volume) = 18.6 L

V2 (final volume) = 9.71 L

P2 (final pressure) =?

Since the temperature is constant, the gas is obeying Boyle's law. Now using the Boyle's law equation P1V1 = P2V2, we can calculate the final pressure as shown below:

P1V1 = P2V2

0.867 x 18.6 = P2 x 9.71

Divide both side by 9.71

P2 = (0.867 x 18.6) /9.71

P2 = 1.661 atm

Therefore, the final pressure of the gas is 1.661 atm

the ideal gas law equation is as follows

pv = nrt

where p - pressure

v - volume

n - number of moles

r - universal gas constant

t - temperature

so if the pressure, volume and temperature are already known

we are left with n and r

since r is the universal gas constant that has a known fixed value then r too is known

so we are left with 'n'

once we know temperature volume and pressure

we can find the number of moles of gas present using the ideal gas law equation

this is not my own answer, this is an answer for the same question by the user blahblahmali. i do not claim ownership of this account.

one negative thing it that it can kill water animals. another negative thing is it can cause the destruction of ecosystem. one way water pollution can be reduced is to conserve energy.