Answer:
D
Explanation:
according to boyle's law the temperature and pressure of a gas are inversely proportional given by the equation
p1v1=p2v2
In this case p1 is 9.5,v1 is 1.7,v2 is 1.1 and we have to find p2
9.5×1.7=p2×1.1
16.15/11=1.1p2/1.2
p2=14.7
I hope this helps
Answer:
[tex]\boxed {\boxed {\sf D.\ 14.7 \ atm}}[/tex]
Explanation:
We are asked to find the pressure on a gas given a change in volume. We will use Boyle's Law which states the volume of a gas is inversely proportional to the pressure. The formula for this law is:
[tex]P_1V_1=P_2V_2[/tex]
The gas originally has a pressure of 9.5 atmospheres and a volume of 1.7 liters.
[tex]9.5 \ atm * 1.7 \ L = P_2V_2[/tex]
The gas is compressed to a volume of 1.1 liters, but the pressure is unknown.
[tex]9.5 \ atm * 1.7 \ L = P_2* 1.1 \ L[/tex]
We want to find the new pressure, so we must isolate the variable P₂. It is being multiplied by 1.1 liters. The inverse operation of multiplication is division. Divide both sides of the equation by 1.1 L.
[tex]\frac {9.5 \ atm * 1.7 \ L}{1.1 \ L} =\frac{ P_2* 1.1 \ L}{1.1 \ L}[/tex]
[tex]\frac {9.5 \ atm * 1.7 \ L}{1.1 \ L} =P_2[/tex]
The units of liters cancel.
[tex]\frac {9.5 \ atm * 1.7 }{1.1 } =P_2[/tex]
[tex]\frac {16.15}{1.1} \ atm =P_2[/tex]
[tex]14.6818181818 \ atm= P_2[/tex]
Round to the tenths place. The 8 in the hundredth place tells us to round the 6 up to a 7.
[tex]14.7 \ atm \approx P_2[/tex]
The new pressure at a volume of 1.1 liters is approximately 14.7 atmospheres.
