Solving Snell's Law: n_blue, n_red, White Light & 30.0° Angle

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The discussion revolves around applying Snell's Law to determine the angle between red and blue light in a specific glass with refractive indices of n_blue = 1.650 and n_red = 1.610 when white light enters at a 30.0° angle. One participant calculated an angle difference of 0.22 degrees but sought confirmation on this result. Additionally, a separate question about the volume change of an ideal gas when the absolute temperature triples was posed, with participants agreeing that the volume would increase by a factor of three. The relationship between volume and temperature was clarified, emphasizing that volume is directly proportional to temperature. The conversation highlights a need for verification of the initial Snell's Law calculation.
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A certain kind of glass n_blue = 1.650 for blue light and n_red = 1.610 for red light. If a beam of white light (containing all colors) is incident at an angle of 30.0 degrees, what is the angle between the red and blue light inside the glass?

I use the Snell's equation:

n_1sin\Theta_1=n_2sin\Theta_2

Hmm... I got 0.22 degrees. Is that correct?

I have another simple conceptual question:

An ideal gas is confined to a container with adjustable volume. The pressure and mole number are constant. By what factor will volume change if absolute temperature triples?

I guess it is 3 times the volume... or is it 1/3 the volume?

PV=nRT
 
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I guess it is 3 times the volume... or is it 1/3 the volume?
Do things expand or contract when they get hot ? If you take an empty plastic bottle with the cap firmly on from a warm room and put it in the fridge, what happens ?
 
Oh yes, Volume is directly proportional to Temperature in this case, Thanks. 3 times the Volume then.
 
Can anybody confirm with me for the first question I posted? Thanks.
 
I can't see how you got 0.22 degrees. Can you show what you got for theta(red) and theta(blue)?
 

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