Question

The mass of a box measured by a grocer’s balance is 2.3 kg. Two gold pieces of masses 2.15 g and 12.39 g are added to the box. What is:(i) the total mass of the box?

Answer 1

Answer:

Hey friend,

# Answer-

a) Total mass of the box = 2.3 kg

b) Difference in masses = 0.02 g

# Given-

Mass of grocer’s box = 2.300 kg = 2.3 kg ...(2 significant figures)

Mass of 1st gold piece = 20.15 g = 0.02015 kg ...(4 significant figures)

Mass of 2nd gold piece = 20.17 g = 0.02017 kg ...(4 significant figures)

# Solutions-

After addition as well as substraction, mass should retain least significant figures i.e. here 2 and 4 respectively.

a) Total mass of the box

= 2.3 + 0.02015 + 0.02017

= 2.34032 kg

= 2.3 kg ...(2 significant figures)

b) Difference in masses

= 20.17 – 20.15

= 0.02 g ...(only 2 significant figures available)

Hope that helped you...

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Answer 2

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Mass of box = 2.3 Kg

$Mass \: of \: 1 ^{st} \: piece \: = 20.15g \: = \: \frac{20.15}{1000} = 0.02015kg$

$Mass \: of \: 2 ^{nd} \: piece \: = 20.17g \: = \: 0.02017 \: kg$

$\:Total \: Mass \: = \: 2.3 \: + \: 0.02015 \: + \: 0.0201 \\ = \: 2.32032 \: kg \\ = 2.3 \: kg$

Now,

$Difference \: of \: mass \: = 20.17 \: - \: 20.15 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: 0.02 \: g$