The temperature T of a given mass of gas varies inversely with its volume V. The temperature of 90 cm3 of a certain gas is 30°C. What will be the temperature of the gas when it is compressed to a volume of 18 cm3?
(1 point)

Question

The temperature T of a given mass of gas varies inversely with its volume V. The temperature of 90 cm3 of a certain gas is 30°C. What will be the temperature of the gas when it is compressed to a volume of 18 cm3?
 (1 point)

anonymous · Answer

6°C
150°C
120°C
75°C

lgbasallote · Answer

oops this seems to be the simpler version

lgbasallote · Answer

i did not read the whole question...lemme do the proportion equation instead

lgbasallote · Answer

inversely proportional so $$V = \frac{k}{T}$$

lgbasallote · Answer

$$90 = \frac{k}{30}$$ $$k = 270$$ we use this proportionality constant for the second equation

lgbasallote · Answer

$$18 = \frac{270}{T}$$

lgbasallote · Answer

$$T = \frac{270}{18}$$

apoorvk · Answer

AAAAAAAAAAAAAAAAAAAAA!!!!!! :O

Actually,

$$\large V_1 T_1 = V_2 T_2$$

(pressure not needed - this not chemistry -_- #methinks)

lgbasallote · Answer

can you solve the rest @Kittta ??

lgbasallote · Answer

sorry for my initial mistake....when i saw volume and temperature i assumed chem

anonymous · Answer

Ii dont even understand what you guys are talking about? could you explain better

lgbasallote · Answer

volume is inversely proportional to temperature...that means $$V \alpha \frac{1}{T}$$ where V is volume and T is temperature got it?

lgbasallote · Answer

but we need an equation so we change 1 into k<---this is a proportionality CONSTANT $$V = \frac{k}{T}$$

lgbasallote · Answer

got a qustion?

ajprincess · Answer

I thnk u need to convert the temperature from C to K

anonymous · Answer

ok

lgbasallote · Answer

nahh this isnt chem so i guess we dont need it to be in K

lgbasallote · Answer

in the first situation it says that when Volume is 90 temperature is 30...so we plug this in $$90 = \frac{k}{30}$$ if you notice k is missing so we find that out...we multiply both sdes by 30 $$k = 90 \times 30$$ $$k = 270$$

lgbasallote · Answer

oops wait $$k = 2700$$

anonymous · Answer

is it 150 C?

lgbasallote · Answer

now in the second situation it says that volume is now 18 cm3 so temperature is missing because note that k is a CONSTANT so it is still the same for the second equation...therefore we have $$18 = \frac{2700}{T}$$ multiply both sides by T $$18T = 2700$$ now divide both sides by 18 $$T = \frac{2700}{18}$$ i missed a zero in the equation i posted earlier

anonymous · Answer

150?

lgbasallote · Answer

yep :D

lgbasallote · Answer

dont forget degree celsius

anonymous · Answer

Okay thanks  so much! :) Sorry I not good at this i have add :(

anonymous · Answer

*i'm