Answer:
P₂ = 3.24atm
Explanation:
Your dad is working on creating a brick border for the lake in your backyard. Each brick has a mass of 100 g and a volume of 20
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Taking into account the Boyle's law, 3.377 L of helium the tank will be able to produce at a pressure of 94.2 kPa.
The gas laws are a set of chemical and physical laws that allow determining the behavior of gases in a closed system. The parameters evaluated in these laws are pressure, volume, temperature, and moles.
Boyle's law is one of the gas laws that relates the volume and pressure of a certain quantity of gas kept at constant temperature.
This law states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant. That is, if the pressure increases, the volume decreases; while if the pressure decreases, the volume increases.
Mathematically, Boyle's law states that the product of pressure and volume is constant:
P×V= k
Studying two different states, an initial state 1 and a final state 2, it is satisfied:
P1× V1= P2×V2
In this case, you know:
- P1= 101 kPa
- V1= 3.15 L
- P2= 94.2 kPa
- V2= ?
Replacing in Boyle's law:
101 kPa× 3.15 L= 94.2 kPa× V2
Solving:
<u><em>V2= 3.377 L</em></u>
In summary, 3.377 L of helium the tank will be able to produce at a pressure of 94.2 kPa.
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Step by Step Explanation
From the question,
the dimensions of the tank are;
L = 30 cm, way =0.075m and H = 15 cm
The density of water is given as
The unit of density given in the question means that the mass of the water is in grams and the volume should also be in
To find the volume of the water, we first convert the units of dimensions given in inches and metres to centimetres
This implies that ,
Also,
This implies that,
Now, the volume of water in the tank can hold, can be found from the relation;
This implies that,
Finally, we can calculate the mass of the water from the relation given;
This in implies that
Hence the fish tank can hold 0.857g water.
From the question,
the dimensions of the tank are;
L = 30 cm, way =0.075m and H = 15 cm
The density of water is given as
The unit of density given in the question means that the mass of the water is in grams and the volume should also be in
To find the volume of the water, we first convert the units of dimensions given in inches and metres to centimetres
This implies that ,
Also,
This implies that,
Now, the volume of water in the tank can hold, can be found from the relation;
This implies that,
Finally, we can calculate the mass of the water from the relation given;
This in implies that
Hence the fish tank can hold 0.857g water.