Question

How do you convert the pressure $0.250atm$ to $kPa$ ?

Answer 1

Hint: Atm is defined as the unit of pressure and also the SI unit of pressure. One atm is defined as the standard constant value which is used to measure the atmospheric pressure at sea level. Atmospheric pressure is also known as barometric pressure.

Complete step-by-step answer:The gravitational attraction of the planet on the atmospheric gases above the surface causes atmospheric pressure.
One Pascal is defined as the one Newton force applied on one square metre area. It is also the SI unit of pressure.
One atm is equal to $1.01325\times {{10}^{5}}Pa$
In this question, the pressure given is $0.250atm$
We have to convert the $atm$ into $kPa$
One atm is equal to $1.01325\times {{10}^{5}}Pa$
$0.250atm$ is equal to $0.250\times 1.01325\times {{10}^{5}}Pa$
$0.250atm$is equal to $25331.25Pa$
Now as we know that $1Pa$ is equal to $0.001kPa$
Hence, $25331.25Pa$ is equal to $25331.25\times 0.001kPa$
$25331.25Pa$ is equal to $25.331kPa$
Therefore, $0.250atm=25.331kPa$
Additional information
Pressure is defined as the thrust per unit area and therefore thrust is inversely proportional to area. The SI unit of pressure is Pascal, Newton per square meter.
The formula of pressure is-
$P=\frac{F}{A}$
Where, $P$ is the pressure,
$F$ is the force acting per unit area,
$A$ is the area.

Note:We have concluded that the Pascal is the unit of pressure. We have to convert Pascal to kilopascal. In this question we have to firstly convert the atm into Pascal and then Pascal into kilopascal. Pascal is equal to one Newton per metre square. And one Newton is equal to $0.10197$ kilogram. Students can have a lot of problems during rounding off the number. Hence a detailed knowledge is required during solving these questions.