According to the Ideal Gas Law, $P V = k T \text {. where } P \text { is pressure. } V \text { is yolume. } T \text { is }$ temperature (in Kelvins), and k is a constant of proportionality. A tank contains 3500 cubic inches of nitrogen at a pressure of 34 pounds per square inch and a temperature of 300 K. Write P as a function Of V and T after evaluating k.
A) $P = \frac { 1190 } { 3 } \left( \frac { T } { V } \right)$
B) $P = \frac { 3 } { 35 } \left( \frac { V } { T } \right)$
C) $P = \frac { 35 } { 102 } \left( \frac { T } { V } \right)$
D) $P = \frac { 595 } { 2 } \left( \frac { V } { T } \right)$
E) $p = \frac { 17 } { 1750 } \left( \frac { V } { T } \right)$

Question

According to the Ideal Gas Law, $P V = k T \text {. where } P \text { is pressure. } V \text { is yolume. } T \text { is }$ temperature (in Kelvins), and k is a constant of proportionality. A tank contains 3500 cubic inches of nitrogen at a pressure of 34 pounds per square inch and a temperature of 300 K. Write P as a function Of V and T after evaluating k. 
A) $P = \frac { 1190 } { 3 } \left( \frac { T } { V } \right)$
B) $P = \frac { 3 } { 35 } \left( \frac { V } { T } \right)$
C) $P = \frac { 35 } { 102 } \left( \frac { T } { V } \right)$
D) $P = \frac { 595 } { 2 } \left( \frac { V } { T } \right)$
E) $p = \frac { 17 } { 1750 } \left( \frac { V } { T } \right)$

Quizplus · Accepted Answer

Given $P = 34 \, \text{psi}$, $V = 3500 \, \text{in}^3$, and $T = 300 \, \text{K}$, we can find $k$ by substituting these values into the Ideal Gas Law equation $PV = kT$. Solving for $k$, we get $k = \frac{PV}{T} = \frac{34 \times 3500}{300}$. Simplifying this gives $k = \frac{119000}{300} = \frac{1190}{3}$. Therefore, $P = \frac{kT}{V} = \frac{1190}{3} \left(\frac{T}{V}\right)$.

According to the Ideal Gas Law PV=kT. where P is pressure. V is yolume. T is P V = k T \text {. where } P \text { is pressure. } V \text { is yolume. } T \text { is }PV=kT. where P is pressure. V is yolume. T is

According to the Ideal Gas Law $P V = k T \text {. where } P \text { is pressure. } V \text { is yolume. } T \text { is }$