In: Chemistry
If the mass of Mars is 6.42 x 1023 kg, what is the mass in pounds?
(Given: 1 lb = 454 g)
Please include steps to solve, thanks!
Ans. Given,
1 lb = 454 g
Mass of Mars = 6.42 x 1023 kg
We know, 1 kg = 1000 g
Or, 1 g = 0.001 kg
Now,
1 lb = 454 g = 454 (0.001 kg) = 0.454 kg
Or, 1 kg = (1 / 0.454) lb = 2.2026 lb
So, 1 kg = 2.2026 lb
# Mass of Mars = 6.42 x 1023kg
= (6.42 x 2.2026) x 1023 lb
= 14.141 x 1023 lb
= 1.41 x 1024 lb
Note: Suppose a value = 2X
If X = 10 mL,
Then, value = 2X = 2 (10 mL) = 20 mL ; where X is replaced by its specified value.
# Similarly,
1 lb = 454 g = 454 (0.001 kg) = 0.454 kg ; where, “g” can be treated equivalent to variable “X” whose value is 0.001 kg. The same approach is opted for making calculation- it excludes unnecessary writing of various values again and again.