When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of litres with psi, what is the volume if the tank has a psi pressure.

Calculate the volume to the nearest whole number.

Use the given values and calculate the proportionality constant as well as required solution.

Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

$v \propto \frac{1}{p}$

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

$v=\frac{k}{p}$

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$

7 0

2 years ago

James has a rectangular plot of land that is 250 feet long and x feet wide. He wants to build a fence around the plot of the lan

Margarita [4]

Answer:

= 221

Step-by-step explanation:

Lenght = 250

Width= x

Perimeter = 2 (l+b) = 942

2 x (250 +x) = 942

500 + 2x = 942

2x = 942 - 500= 442

x = 442 /2 = 221

I hope Im right!!

7 0

2 years ago

Lim x-27/x¹/³-3 x->3 please can I get quick solution to this,please help me out.​

Lim x-27/x¹/³-3 x->3 please can I get quick solution to this,please help me out.