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3 years ago

A grapefruit has a weight on earth of 4.9 newtons. what is grapefruit's mass

1 answer:

7 0

The force of gravity is the force with which massively large objects such as the earth attracts another object towards itself. All objects of the earth exert a gravity that is directed towards the center of the earth. Therefore, the force of gravity of the earth is equal to the mass of the object times acceleration due to gravity.

F = ma 
4.9N = m (9.8 m/s^2), note that N (newtons) = kg-m/s^2 
m = 0.5 kg
The mass of the object is 0.5kg.

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In the Haber reaction, patented by German chemist Fritz Haber in 1908, dinitrogen gas combines with dihydrogen gas to produce gaseous ammonia. This reaction is now the first step taken to make most of the world's fertilizer. Suppose a chemical engineer studying a new catalyst for the Haber reaction finds that 348 liters per second of dinitrogen are consumed when the reaction is run at 205°C and 0.72 atm. Calculate the rate at which ammonia is being produced.

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The rate of production of ammonia is 217.08 grams per second.

Explanation:

$N_2+3H_2\rightarrow 2NH_3$

Volume of dinitrogen used in a second = 348 L

Temperature of the gas = T = 205°C = 205+273 K = 478 K

Pressure of the gas = P = 0.72 atm

Moles of dinitrogen = n

$n=\frac{PV}{RT}=\frac{0.72 atm\times 348 L}{0.0821 atm L/mol K\times 478 K}=6.385 mol$

According to reaction, 1 mole of dinitriogen gives 2 mole of ammonia.Then 6.385 moles of dinitrogen will give:

$\frac{2}{1}\times 6.385 mol=12.769 mol$

Mass of 12.769 moles of ammonia;

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217.08 grams of ammonia is produced per second.So, the rate of production of ammonia is 217.08 grams per second.

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3 years ago