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Atoms And Molecules

Question
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Using the equation g = Gm/r2 and knowing the value of G, calculate the value of the acceleration due to gravity. Take the value of the mass of the earth = 6 x 1024 kg and radius = 6.4 x 106 m.

Solution

Given, 
Mass space of space the space earth comma space straight M space equals space 6 space cross times space 10 to the power of 24 space kg Radius space of space the space Earth comma space straight R space equals space 6.4 space cross times space 10 to the power of 6 space straight m Gravitational space constant comma space straight G space equals space 6.67 space cross times space 10 to the power of negative 11 end exponent space Nm squared divided by kg squared Therefore space value space of space straight g space on space Earth comma space space space therefore space space space space space straight g space equals space GM over straight R squared space space space space space space space space space space space space space space space space space equals space fraction numerator 6.67 space cross times space 10 to the power of negative 11 end exponent space cross times space 6 space cross times space 10 to the power of 24 over denominator 6.4 space cross times space 10 to the power of 6 space cross times space 6.4 space cross times space 10 to the power of 6 end fraction straight m divided by straight s squared space space space space space space space space space space space space space space space space space equals space 9.8 space straight m divided by straight s squared

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Some More Questions From Atoms And Molecules Chapter

What is the mass of?

(a) 0.2 mole oxygen atoms.

(b) 0.5 mole of water molecules.

Calculate the number of molecules of sulphur (S8) present in 16 gm of solid sulphur.

Calculate the number of aluminium ions present in 0.56 gm of aluminium oxide.

Explain law of conservation of mass.

50 g of 10% lead nitrate is mixed with 50 g of 10% sodium chloride in a closed vessel. After the reaction has taken place, it was found that 6.83 g of lead chloride was precipitated. Besides, the reaction mixture contained 90 g water and sodium nitrate. Calculate the amount of sodium nitrate formed.

Name and explain two important laws of chemical combination ?

What are the postulates of Dalton’s atomic theory of matter?

Hydrogen and oxygen combine in two different ways to produce water and hydrogen peroxide. Which of Dalton’s law does this observation confirm? Explain.

State drawbacks of Dalton’s atomic theory of matter.

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