How to convert <font size="10"> to px?

the font size to em mapping is only accurate if there is no font-size defined and changes when your container is set to different sizes.

The following works best for me but it does not account for size=7 and anything above 7 only renders as 7.

font size=1 = font-size:x-small
font size=2 = font-size:small
font size=3 = font-size:medium
font size=4 = font-size:large
font size=5 = font-size:x-large
font size=6 = font-size:xx-large

According to The W3C:

This attribute sets the size of the font. Possible values:

• An integer between 1 and 7. This sets the font to some fixed size, whose rendering depends on the user agent. Not all user agents may render all seven sizes.
• A relative increase in font size. The value "+1" means one size larger. The value "-3" means three sizes smaller. All sizes belong to the scale of 1 to 7.

Hence, the conversion you're asking for is not possible. The browser is not required to use specific sizes with specific size attributes.

Also note that use of the font element is discouraged by W3 in favor of style sheets.

<font size=1>- font size 1</font><br>
<span style="font-size:0.63em">- font size: 0.63em</span><br>

<font size=2>- font size 2</font><br>
<span style="font-size: 0.82em">- font size: 0.82em</span><br>

<font size=3>- font size 3</font><br>
<span style="font-size: 1.0em">- font size: 1.0em</span><br>

<font size=4>- font size 4</font><br>
<span style="font-size: 1.13em">- font size: 1.13em</span><br>

<font size=5>- font size 5</font><br>
<span style="font-size: 1.5em">- font size: 1.5em</span><br>

<font size=6>- font size 6</font><br>
<span style="font-size: 2em">- font size: 2em</span><br>

<font size=7>- font size 7</font><br>
<span style="font-size: 3em">- font size: 3em</span><br>

Using the data points from the accepted answer you can use polynomial interpolation to obtain a formula.

WolframAlpha Input: interpolating polynomial {{1,.63},{2,.82}, {3,1}, {4,1.13}, {5,1.5}, {6, 2}, {7,3}}

Formula: 0.00223611x^6 - 0.0530417x^5 + 0.496319x^4 - 2.30479x^3 + 5.51644x^2 - 6.16717x + 3.14

And use in Groovy code:

import java.math.*
def convert = {x -> (0.00223611*x**6 - 0.053042*x**5 + 0.49632*x**4 - 2.30479*x**3 + 5.5164*x**2 - 6.167*x + 3.14).setScale(2, RoundingMode.HALF_UP) }
(1..7).each { i -> println(convert(i)) }