A 29.0-g sample of water at 290. K is mixed with 51.0 g water at 300. K. Calculate the final temperature of the mixture assuming
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The volume of the balloon is approximately 2652 liters.
<h3>How to determine the volume occupied by the gas in a balloon </h3>Let suppose that <em>flammable</em> hydrogen behaves ideally. GIven the molar mass (), in kilograms per kilomole, and mass of the gas (
), in kilograms. The volume occupied by the gas (
), in cubic centimeters, is found by the equation of state for <em>ideal</em> gases:
(1)
Where:
- Ideal gas constant, in kilopascal-cubic meters per kilomole-Kelvin.
- Temperature, in Kelvin
- Pressure, in kilopascals
If we know that ,
,
,
and
, then the volume of the balloon is:
(
)
The volume of the balloon is approximately 2652 liters.
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Answer: A dilation with rule:
Explanation:
A dilation is a non-rigid transformation that creates an image that is the same shape as the original but has a different size.
It uses a scale factor k such that
(x,y)= coordinates of original figure
(kx,ky) = corresponding coordinate in the image.
To transform: A (3,-4) onto point A' (1.5,-2).
Using scale factor k= , we have
Required rule: