The pressure of a gas is 27 Pascal if the unit of length mass and the ...
**Conversion of Units**
To calculate the pressure in a different set of units, we need to convert the given values into the desired units. In this case, we are given the pressure in Pascal (Pa) and need to convert it to a different set of units.
Given:
Pressure = 27 Pascal
Length = 1 km
Mass = 10 kilogram
Time = 1 minute
To convert the given units to the desired units, we will use the following conversion factors:
1 km = 1000 m (since 1 km = 1000 meters)
1 kg = 1000 g (since 1 kg = 1000 grams)
1 minute = 60 seconds (since 1 minute = 60 seconds)
**Converting Length**
Given length = 1 km
Converting km to m: 1 km * 1000 m/km = 1000 m
So, the length in meters is 1000 m.
**Converting Mass**
Given mass = 10 kg
Converting kg to g: 10 kg * 1000 g/kg = 10000 g
So, the mass in grams is 10000 g.
**Converting Time**
Given time = 1 minute
Converting minutes to seconds: 1 minute * 60 seconds/minute = 60 seconds
So, the time in seconds is 60 seconds.
**Calculating Pressure**
Now that we have converted all the given values to the desired units, we can calculate the pressure using the formula:
Pressure = Force/Area
In this case, the given pressure is 27 Pascal, which is already in the desired units.
Therefore, the pressure remains the same at 27 Pascal.
**Explanation**
The pressure of a gas is independent of the units of length, mass, and time. It solely depends on the force exerted by the gas molecules on a given area. Hence, regardless of the unit of length, mass, and time used to measure the pressure, the actual value of the pressure remains the same.
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