Physical Quantities and Measurement | Numericals

Question

Q4) The density of alcohol is 600 $kg\ m^{-3}$ . Express it in $g\ cm^{-3}$

Solution
Transcript

" Hello students, welcome to lido question and answer video. So we have a density of alcohol is given as 600 kg per meter cube. We have to convert this into grams per centimeter cubed. Let's start with using the formula of density. We know that density is equal to mass per unit volume. So substitute this we get 600 which is in kg third one. They're so cute. Now. We have to convert this into grams per centimeter Cube. So to do this, let's just quickly write down. What is the conversion funnel plan to kilograms? So we know that 1,000 grams is equal to 1 kg. So one gram will be equal to 1 by 1000 kg right here. We have 600 stages. So if a 600 kg then from this equation, Ation, we get 600 and 700 grams will be equal to 600 kg. So we already know the value of cramps for this numerator. Now, let's out. Let's find out about the denominator. I know hundred centimeters is equal to one meter. So 1 meter cube is equal to 1 000 000 centimeter Cube. So we also multiply this trip three times right means hundred and two hundred and two hundred so we can straight away subscribe. Now the values that is 600 kg is equal to this France and one meter cube as this much centimeter Cube. Let's do that and see what we get. So in place are 600 Two other guys down 600 000 690 Rose upon this is in grams upon one followed by six zero one, two, three, four, five six, and this is centimeter Cube. Let's cancel out the zeros so we can clean outside zeros from here. So this becomes 6 by 10 grams per centimeter so we can also express it in decimal that 0.60 grams per centimeter cubed. So the density of alcohol so density of alcohol. In grams per centimeter cubed is 6.0.6001.18000. I hope this was Tails internally for the query. Please post your comments below. Thank you. "

Accepted Answer

Solution:

Density of alcohol = 600kg/m³

In g/cm³ = 600/1000

= 0.60 g/cm³

Physical Quantities and Measurement | Numericals

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Question 4